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Finding the Third Proportional to 10,596,161 and 22,886,275

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Solution

The third proportional to 10,596,161 and 22,886,275 is: 49,431,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,161 : 22,886,275 = 22,886,275 : x
  2. Step 2: Convert to fraction form
    10,596,161/22,886,275 = 22,886,275/x
  3. Step 3: Cross multiply
    10,596,161x = 22,886,275 × 22,886,275
  4. Step 4: Simplify right side
    10,596,161x = 523,781,583,375,625
  5. Step 5: Solve for x
    x = 523,781,583,375,625/10,596,161
  6. Step 6: Final answer
    x = 49,431,259.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.